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Finding the Fourth Proportional to 7,550.67, 11,321.67 and 3,164.43

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Solution

The fourth proportional to 7,550.67, 11,321.67 and 3,164.43 is: 4,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.67 : 11,321.67 = 3,164.43 : x
  2. Step 2: Convert to fraction form
    7,550.67/11,321.67 = 3,164.43/x
  3. Step 3: Cross multiply
    7,550.67x = 11,321.67 × 3,164.43
  4. Step 4: Simplify right side
    7,550.67x = 35,826,632.20
  5. Step 5: Solve for x
    x = 35,826,632.20/7,550.67
  6. Step 6: Final answer
    x = 4,744.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.